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Finding the Fourth Proportional to 330,123.47, 495,218.00 and 119,777.81

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Solution

The fourth proportional to 330,123.47, 495,218.00 and 119,777.81 is: 179,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,123.47 : 495,218.00 = 119,777.81 : x
  2. Step 2: Convert to fraction form
    330,123.47/495,218.00 = 119,777.81/x
  3. Step 3: Cross multiply
    330,123.47x = 495,218.00 × 119,777.81
  4. Step 4: Simplify right side
    330,123.47x = 59,316,125,335.93
  5. Step 5: Solve for x
    x = 59,316,125,335.93/330,123.47
  6. Step 6: Final answer
    x = 179,678.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.